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Finding the Fourth Proportional to 76,145, 105,078.78 and 42,152.74

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Solution

The fourth proportional to 76,145, 105,078.78 and 42,152.74 is: 58,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,145 : 105,078.78 = 42,152.74 : x
  2. Step 2: Convert to fraction form
    76,145/105,078.78 = 42,152.74/x
  3. Step 3: Cross multiply
    76,145x = 105,078.78 × 42,152.74
  4. Step 4: Simplify right side
    76,145x = 4,429,358,492.86
  5. Step 5: Solve for x
    x = 4,429,358,492.86/76,145
  6. Step 6: Final answer
    x = 58,170.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.